Solve. a-5/a+4 = 5/4 a = 0 a = - 1 a = - 9 a = - 40

-40=a

Step-by-step explanation:

(a-5) / (a+4) = 5/4

Multiply by (a+4) on each side

(a-5) / (a+4) * (a+4) = 5/4 (a+4)

a-5 = 5/4 (a+4)

Multiply by 4 on each side to clear the fractions

4 (a-5) = 5/4*4 (a+4)

4 (a-5) = 5 (a+4)

Distribute

4a - 20 = 5a + 20

Subtract 4a from each side

4a - 4a - 20 = 5a-4a + 20

-20 = a+20

Subtract 20 from each side

-20-20 = a+20-20

-40=a